Browsing by Author "Escobedo, M."
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Blowup for a timeoscillating nonlinear heat equation
Cazenave, T.; Escobedo, M.; Zuazua, E. (20131231)In this paper, we study a nonlinear heat equation with a periodic time oscillating term in factor of the nonlinearity. In particular, we give examples showing how the behavior of the solution can drastically change according ... 
Classical nonmasspreserving solutions of coagulation equations
Escobedo, M.; Velazquez, J.J.L. (20121231)In this paper we construct classical solutions of a family of coagulation equations with homogeneous kernels that exhibit the behaviour known as gelation. This behaviour consists in the loss of mass due to the fact that ... 
Convergence to equilibrium of a linearized quantum Boltzmann equation for bosons at very low temperature
Escobedo, M.; Tran, M.B. (20150901)We consider an approximation of the linearised equation of the homogeneous Boltzmann equation that describes the distribution of quasiparticles in a dilute gas of bosons at low temperature. The corresponding collision ... 
Estimating the division rate of the growthfragmentation equation with a selfsimilar kernel
Bourgeron, T.; Doumic, M.; Escobedo, M. (20141231)We consider the growthfragmentation equation and we address the problem of estimating the division rate from the stable size distribution of the population, which is easily measured, but nonsmooth. We propose a method ... 
Existence, uniqueness and asymptotic behavior of the solutions to the fully parabolic KellerSegel system in the plane
Corrias, L.; Escobedo, M.; Matos, J. (20141231)In the present article we consider several issues concerning the doubly parabolic KellerSegel system (1.1)(1.2) in the plane, when the initial data belong to critical scalinginvariant Lebesgue spaces. More specifically, ... 
Finite time blowup and condensation for the bosonic Nordheim equation
Escobedo, M.; Velazquez, J.J.L. (20141231)The homogeneous bosonic Nordheim equation is a kinetic equation describing the dynamics of the distribution of particles in the space of moments for a homogeneous, weakly interacting, quantum gas of bosons. We show the ... 
Finite time blowup for the bosonic Nordheim equation
Escobedo, M.; Velazquez, J.J.L. (20151231)The homogeneous bosonic Nordheim equation is a kinetic equation describing the dynamics of the distribution of particles in the space of moments for a homogeneous, weakly interacting, quantum gas of bosons. We show the ... 
On a Boltzmann equation for Compton scattering, from non relativistic electrons at low density.
Cortés, E.; Escobedo, M. (20180815)A Boltzmann equation, used to describe the Compton scattering in the nonrelativistic limit is considered. A truncation of the very singular redistribution function is introduced and justified. The existence of weak solutions ... 
On a system of equations for the normal fluid  condensate interaction in a Bose gas
Cortés, E.; Escobedo, M. (20180327)The existence of global solutions for a system of differential equations is proved, and some of their properties are described. The system involves a kinetic equation for quantum particles. It is a simplified version of ... 
On the Blow Up and Condensation of Supercritical Solutions of the Nordheim Equation for Bosons
Escobedo, M.; Velazquez, J.J.L. (20141231)In this paper we prove that the solutions of the isotropic, spatially homogeneous Nordheim equation for bosons with bounded initial data blow up in finite time in the L‚àû norm if the values of the energy and particle ... 
Propagation of chaos in a coagulation model
Escobedo, M.; Pezzotti, F. (20131231)The dynamics of a finite system of coalescing particles in a finite volume is considered. It is shown that, in the thermodynamic limit, a coagulation equation is recovered and propagation of chaos holds for all time. 
Time asymptotics for a critical case in fragmentation and growthfragmentation equations
Doumic, M.; Escobedo, M. (20160101)Fragmentation and growthfragmentation equations is a family of problems with varied and wide applications. This paper is devoted to the description of the longtime asymptotics of two critical cases of these equations, ...